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Finding the Fourth Proportional to 382,461.02, 527,395.48 and 285,509.38

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Solution

The fourth proportional to 382,461.02, 527,395.48 and 285,509.38 is: 393,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,461.02 : 527,395.48 = 285,509.38 : x
  2. Step 2: Convert to fraction form
    382,461.02/527,395.48 = 285,509.38/x
  3. Step 3: Cross multiply
    382,461.02x = 527,395.48 × 285,509.38
  4. Step 4: Simplify right side
    382,461.02x = 150,576,353,511.69
  5. Step 5: Solve for x
    x = 150,576,353,511.69/382,461.02
  6. Step 6: Final answer
    x = 393,703.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.